Abstract
The aim of this paper is to investigate the existence and multiplicity of solutions for a bi-non-local problem. Precisely, we show that the above problem admits at least a non-trivial positive energy solution by using the mountain pass theorem. Furthermore, with the help of the fountain theorem, we obtain the existence of infinitely many positive energy solutions, assuming a symmetric condition for g. The main feature and difficulty of this paper is the presence of a double non-local term involving two variable parameters.
Funder
National Natural Science Foundation of China
Guangdong Basic and Applied basic Research Foundation
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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